Abstract
In this paper, the dynamics evolution of multipartite entanglement for each qubit interacting with a local decoherence channel, such as phase damping, phase flip, bit flip and bit-phase flip channel, is investigated. It is shown that the initial concurrence monotonously decreases much faster with the number of qubit increases and there exists entanglement sudden death (ESD) only for the bit flip channel and bit-phase flip channels. Meanwhile, the time of ESD decreases with the increases of the number of qubit in the multipartite system.
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Acknowledgments
This work was supported by the National Science Foundation of China under Grants Nos. 11074002 and 61275119, by the Doctoral Foundation of the Ministry of Education of China under Grant No. 20103401110003, by the Natural Science Research Project of Education Department of Anhui Province of China (Grant No. KJ2013A205) and also by the Personal Development Foundation of Anhui Province (2008Z018).
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Shi, Jd., Wu, T., Song, Xk. et al. Multipartite concurrence for \(X\) states under decoherence. Quantum Inf Process 13, 1045–1056 (2014). https://doi.org/10.1007/s11128-013-0710-x
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DOI: https://doi.org/10.1007/s11128-013-0710-x